An RNA only template is used in Loads only with the Quadratic generator . The rotor RPM is set by the user, the tests checks that the generator torque corresponds to that RPM.

The following Load cases are tested:

RPM 2
RPM 10
RPM 20
K 05

2 Analytical solution

For the quadratic generator, the generator torque

$$T_G$$

is proportional to the square of the generator RPM

$$\omega_G$$

, such that

$$T_G = K\cdot\omega_G^2$$

. The generator RPM is equal to the rotor RPM

$$\omega_R$$

multiplied by the gearbox ratio

$$G$$

. We therefore have

$$T_G=K\cdot(G\cdot\omega_R)^2$$

The default gearbox ratio is

$$G=97$$

The table below summarizes the input and expected output for each load case:

Load case	Rotor RPM $$\omega_R\text{ }[RPM]$$	Proportionaility constant $$K\text{ }[ Nm\cdot \text{RPM}^{-2}]$$	Expected geext{nerator torque $$T_G\text{ [Nm]}$$
RPM 2	2	0.03128	1180
RPM 10	10	0.03128	29400
RPM 20	20	0.03128	117000
K 05	10	0.5	470000

3 Results

A simulation of 5 seconds is run. The test is considered passed if the results from Ashes are within 0.1% of the analytical solution.

The report for this test can be found on the following link:

https://www.simis.io/downloads/open/benchmarks/current/Quadratic generator test.pdf